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Finding the Fourth Proportional to 530.33, 732.56 and 407.51

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Solution

The fourth proportional to 530.33, 732.56 and 407.51 is: 562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.33 : 732.56 = 407.51 : x
  2. Step 2: Convert to fraction form
    530.33/732.56 = 407.51/x
  3. Step 3: Cross multiply
    530.33x = 732.56 × 407.51
  4. Step 4: Simplify right side
    530.33x = 298,521.09
  5. Step 5: Solve for x
    x = 298,521.09/530.33
  6. Step 6: Final answer
    x = 562.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.